Question

In: Statistics and Probability

A bank with a branch located in a commercial district of a city has the business...

A bank with a branch located in a commercial district of a city has the business objective of improving the process for serving customers during the noon-to-1 pm lunch period. To do so, the waiting time (defined as the number of minutes that elapses from when the customer enters the line until he or she reaches the teller window) needs to be shortened to increase customer satisfaction. A random sample of 15 customers is selected and the waiting times are recorded. Suppose that another branch, located in a residential area, is also concerned with the noon-to-1 pm lunch period. A random sample of 15 customers is selected and the waiting times are recorded. Data are available in the worksheet labeled “Problem 3”.

4. Conduct an appropriate test to compare the mean waiting times of the two branches. Report the p-value of this test and state your conclusions.

Data Set

Customer Waiting Time Branch
1 4.21 Residential
2 4.50 Residential
3 5.55 Residential
4 6.10 Residential
5 3.02 Residential
6 0.38 Residential
7 5.13 Residential
8 5.12 Residential
9 4.77 Residential
10 6.46 Residential
11 2.34 Residential
12 6.19 Residential
13 3.54 Residential
14 3.79 Residential
15 3.20 Residential
16 9.66 Commercial
17 10.49 Commercial
18 5.90 Commercial
19 6.68 Commercial
20 8.02 Commercial
21 5.64 Commercial
22 5.79 Commercial
23 4.08 Commercial
24 8.73 Commercial
25 6.17 Commercial
26 3.82 Commercial
27 9.91 Commercial
28 8.01 Commercial
29 5.47 Commercial
30 8.35 Commercial

Solutions

Expert Solution

Here we use two sample t-test to compare the mean waiting times of the two branches.

Testing Hypothesis:

H0 : The mean waiting times of the two branches are equal.

H1 : The mean waiting times of the two branches differ.

Here is the output from Excel :


Here the p-value is 0.00029.

Decision :

Since here p-value < 0.05 , we reject H0 and conclude that the mean waiting times for the two branches are not equal at 5% significance level.


Related Solutions

A bank with a branch located in a commercial district of a city has the business...
A bank with a branch located in a commercial district of a city has the business objective of improving the process for serving customers during the noon-to-1 PM lunch period. To do so, the waiting time (defined as the number of minutes that elapses from when the customer enters the line until he or she reaches the teller window) needs to be shortened to increase customer satisfaction. A random sample of 15 customers is selected and the waiting times were...
A bank with a branch located in a commercial district of a city has the business...
A bank with a branch located in a commercial district of a city has the business objective of improving the process for serving customers during the noon-to-1 pm lunch period. To do so, the waiting time (defined as the number of minutes that elapses from when the customer enters the line until he or she reaches the teller window) needs to be shortened to increase customer satisfaction. A random sample of 15 customers is selected and the waiting times are...
A bank with a branch located in a commercial district of a city has the business...
A bank with a branch located in a commercial district of a city has the business objective of improving the process for serving customers during the noon-to-1 PM lunch period. To do so, the waiting time (defined as the number of minutes that elapses from when the customer enters the line until he or she reaches the teller window) needs to be shortened to increase customer satisfaction. A random sample of 15 customers is selected and the waiting times were...
A bank with a branch located in a commercial district of a city has the business...
A bank with a branch located in a commercial district of a city has the business objective of developing an improved process for serving customers during the noon-to-1 P.M. lunch period. Management decides to first study the waiting time in the current process. The waiting time is defined as the number of minutes that elapses from when the customer enters the line until he or she reaches the teller window. Data are collected from a random sample of 15 customers...
A bank branch located in a commercial district of a city has the business objective of...
A bank branch located in a commercial district of a city has the business objective of developing an improved process for serving customers during the noon-to-1 p.m. lunch period. To do so, the waiting time (defined as the number of minutes that elapses from when the customer enters the line until he or she reaches the teller window) needs to be shortened to increase customer satisfaction. Another bank in the area is also concerned with the noon-to-1 PM lunch period....
A bank with a branch located in a commercial district of a city has developed an...
A bank with a branch located in a commercial district of a city has developed an improved process for serving customers during the noon-to-1 P.M. lunch period. The bank has the business objective of reducing the waiting time (defined as the number of minutes that elapse from when the customer enters the line until he or she reaches the teller window) to increase customer satisfaction. A random sample of 15 customers is selected and waiting times(in minutes) are collected and...
A bank with a branch located in a commercial district of a city has developed an...
A bank with a branch located in a commercial district of a city has developed an improved process for serving customers during the noon to 1 P.M. lunch period. The waiting time (operationally defined as the time elapsed from when the customer enters the line until he or she reaches the teller window) of all customers during this hour is recorded over a period of one week. A random sample of 15 customers is selected, and the results (in minutes)...
10.12 A bank with a branch located in a commercial district of a city has the...
10.12 A bank with a branch located in a commercial district of a city has the business objective of developing an improved process for serving customers during the noon-to-1 P.M. lunch period. Management decides to first study the waiting time in the current process. The waiting time is defined as the number of minutes that elapses from when the customer enters the line until he or she reaches the teller window. Data are collected from a random sample of 15...
A branch located in a commercial district of a city has the business objective of developing...
A branch located in a commercial district of a city has the business objective of developing an improved process for serving customers during the noon-to-1:00 pm lunch period. Management decides to first study the waiting time in the current process. The waiting time is defined as the number of minutes that elapses from when the customer enters the line to when he or she reaches the teller window. Data are collected from a random sample of 15 customers. Suppose a...
Please do in Excel A bank with a branch located in a commercial district of a...
Please do in Excel A bank with a branch located in a commercial district of a city has the business objective of improving the process for serving customers during the noon-to-1 p.m. lunch period. To do so, the waiting time (defined as the number of minutes that elapses from when the customer enters the line until he or she reaches the teller window) needs to be shortened to increase customer satisfaction. A random sample of 15 customers is selected and...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT